断层效应反演问题的数值算法  

The Numerical Method for an Inverse Problem of Faultage Effect

作　　者：应正卫[1] 邱淑芳[1] 王泽文[2] 

机构地区：[1]东华理工大学长江学院信息工程系,江西南昌330013 [2]东华理工大学数学与信息科学学院,江西抚州344000

出　　处：《江西师范大学学报（自然科学版）》2009年第2期237-241,共5页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：江西省自然科学基金(0511005);东华理工大学校长基金(DHXK0801)资助项目

摘　　要：考虑一类垂直断层效应反演问题,其数学模型是具有解析核的第一类积分方程.因其不适定性,获得它的稳定解非常困难.为获得其数值解,通过积分变换和变量代换,将其转化为一维Hausdorff矩问题进行求解,获得了近似解的误差估计.数值算例显示了算法的有效性.A class of inverse problems of perpendicular Faultage effect are discussed, which are modeled by a first kind integral equation with an analytic kernel. It is very difficult to recover its stabihzed solution due to its ill-posedness. By the techniques in integral transforms and variable transform, we transform it 1-D Hausdoff moment problem to solve it numerically, and obtain the error estimates for its approximate solution. Some examples verify the numerical method＇s availability.

关 键 词：垂直断层反演问题 不适定性 Hausdorff矩问题 数值算法 

分 类 号：O242[理学—计算数学]